ve the problem. 15) There are 12 members on a board of directors. If they must e

Question

ve the problem. 15) There are 12 members on a board of directors. If they must elect a chairperson, a secretary, 1 and a treasurer, how many different slates of candidates are possible? 16) In a lottery, players must pick 6 different numbers from 1 to 21. How many ways are there to choose the 6 numbers if order is important? Awards are to be presented to seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. How many different orders are possible for the awards if Karen is to receive the fi award and Lyle the last? a certain lottery, 6 numbers between 1 and 11 inclusive are drawn. These are the ihle2 Assume that the or

Explanation / Answer

15)

number of ways to select 3 candidate out of 12 and arrange them in positions=12P3 =12!/((12-3)!)

=1320

16)

number of ways to select 6 number out of 21 and arrange them in order=21P6 =21!/((21-6)!)

=39070080

17)

as Karen and Lyle are arranged we need to position rest of 5 people for which number of ways

=5*4*3*2*1=120

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